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Simplifying 10y + 1 = 3(-2y + -5) Reorder the terms: 1 + 10y = 3(-2y + -5) Reorder the terms: 1 + 10y = 3(-5 + -2y) 1 + 10y = (-5 * 3 + -2y * 3) 1 + 10y = (-15 + -6y) Solving 1 + 10y = -15 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 1 + 10y + 6y = -15 + -6y + 6y Combine like terms: 10y + 6y = 16y 1 + 16y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 1 + 16y = -15 + 0 1 + 16y = -15 Add '-1' to each side of the equation. 1 + -1 + 16y = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 16y = -15 + -1 16y = -15 + -1 Combine like terms: -15 + -1 = -16 16y = -16 Divide each side by '16'. y = -1 Simplifying y = -1
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